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 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Solving Systems by Elimination – Section 4.08 – Guided Notes This method works because you can add and subtract equations if you line them up along the equal sign. Example 1: Solve the system using elimination. Steps −4𝑥 + 6𝑦 = 3
−4𝑥 − 2𝑦 = −1
1. 2. 3. 4. 5. 1 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Sometimes, you have to multiply both equations by a constant before one variable can be eliminated. Example 2: Solve the systems using elimination. 5𝑦 − 2𝑥 = −15
12𝑦 + 3𝑥 = 3
2 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Practice: Solve each system of equations using elimination. 4𝑥 − 5𝑦 = 15
4𝑥 + 2𝑦 = −6
1.
2.
Name:
Date:
6𝑥 − 12𝑦 = 24
−𝑥 − 6𝑦 = 4
3 3.
Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
5𝑥 + 𝑦 = 30
3𝑥 − 4𝑦 = 41
4.
Name:
Date:
5𝑥 − 2𝑦 = 30
9𝑥 − 2𝑦 = 54
4 
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